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Finding the Third Proportional to 238,595.63 and 514,551.66

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Solution

The third proportional to 238,595.63 and 514,551.66 is: 1,109,674.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,595.63 : 514,551.66 = 514,551.66 : x
  2. Step 2: Convert to fraction form
    238,595.63/514,551.66 = 514,551.66/x
  3. Step 3: Cross multiply
    238,595.63x = 514,551.66 × 514,551.66
  4. Step 4: Simplify right side
    238,595.63x = 264,763,406,949.62
  5. Step 5: Solve for x
    x = 264,763,406,949.62/238,595.63
  6. Step 6: Final answer
    x = 1,109,674.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.